Flocking of multi‐agent dynamical systems with intermittent nonlinear velocity measurements

SUMMARY In this paper, the problem of flocking control in networks of multiple dynamical agents with intermittent nonlinear velocity measurements is studied. A new flocking algorithm is proposed to guarantee the states of the velocity variables of all the dynamical agents to converge to consensus while ensuring collision avoidance of the whole group, where each agent is assumed to obtain some nonlinear measurements of the relative velocity between itself and its neighbors only on a sequence of non-overlapping time intervals. The results are then extended to the scenario of flocking with a nonlinearly dynamical virtual leader, where only a small fraction of agents are informed and each informed agent can obtain intermittent nonlinear measurements of the relative velocity between itself and the virtual leader. Theoretical analysis shows that the achieved flocking in systems with or without a virtual leader is robust against the time spans of the agent speed-sensors. Finally, some numerical simulations are provided to illustrate the effectiveness of the new design. Copyright © 2011 John Wiley & Sons, Ltd.

[1]  David Angeli,et al.  Nonlinear norm-observability notions and stability of switched systems , 2005, IEEE Transactions on Automatic Control.

[2]  Xiao Fan Wang,et al.  Rendezvous of multiple mobile agents with preserved network connectivity , 2010, Syst. Control. Lett..

[3]  Yiguang Hong,et al.  Distributed Observers Design for Leader-Following Control of Multi-Agent Networks (Extended Version) , 2017, 1801.00258.

[4]  Xiang Li,et al.  Control and Flocking of Networked Systems via Pinning , 2010, IEEE Circuits and Systems Magazine.

[5]  Hai Yu,et al.  Flocking in Multi-agent Systems with a Bounded Control Input , 2009, 2009 International Workshop on Chaos-Fractals Theories and Applications.

[6]  Wen Yang,et al.  Flocking in multi‐agent systems with multiple virtual leaders , 2008 .

[7]  Zhong-Ping Jiang,et al.  Two decentralized heading consensus algorithms for nonlinear multi‐agent systems , 2008 .

[8]  George J. Pappas,et al.  Flocking in Fixed and Switching Networks , 2007, IEEE Transactions on Automatic Control.

[9]  Long Wang,et al.  Virtual leader approach to coordinated control of multiple mobile agents with asymmetric interactions , 2006 .

[10]  Zhong-Ping Jiang,et al.  Global Analysis of Multi-Agent Systems Based on Vicsek's Model , 2009, IEEE Transactions on Automatic Control.

[11]  Guanrong Chen,et al.  A connectivity-preserving flocking algorithm for multi-agent systems based only on position measurements , 2009, Int. J. Control.

[12]  Xin-Ping Guan,et al.  Flocking algorithm with multi-target tracking for multi-agent systems , 2010, Pattern Recognit. Lett..

[13]  R. Olfati-Saber,et al.  Collision avoidance for multiple agent systems , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[14]  Seung-Yeal Ha,et al.  Emergent Behavior of a Cucker-Smale Type Particle Model With Nonlinear Velocity Couplings , 2010, IEEE Transactions on Automatic Control.

[15]  Magnus Egerstedt,et al.  Distributed Coordination Control of Multiagent Systems While Preserving Connectedness , 2007, IEEE Transactions on Robotics.

[16]  George J. Pappas,et al.  Flocking while preserving network connectivity , 2007, 2007 46th IEEE Conference on Decision and Control.

[17]  Jiangping Hu,et al.  Tracking control for multi-agent consensus with an active leader and variable topology , 2006, Autom..

[18]  Herbert G. Tanner Flocking with obstacle avoidance in switching networks of interconnected vehicles , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[19]  Wenwu Yu,et al.  Flocking of multi-agent dynamical systems based on pseudo-leader mechanism , 2009, Syst. Control. Lett..

[20]  Vicsek,et al.  Novel type of phase transition in a system of self-driven particles. , 1995, Physical review letters.

[21]  George J. Pappas,et al.  Stable flocking of mobile agents part I: dynamic topology , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[22]  Jie Lin,et al.  Coordination of groups of mobile autonomous agents using nearest neighbor rules , 2003, IEEE Trans. Autom. Control..

[23]  Andrey V. Savkin,et al.  Coordinated collective motion of Groups of autonomous mobile robots: analysis of Vicsek's model , 2004, IEEE Transactions on Automatic Control.

[24]  George J. Pappas,et al.  Stable flocking of mobile agents, part I: fixed topology , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[25]  Z. Zuo,et al.  A new method for exponential synchronization of chaotic delayed systems via intermittent control , 2010 .

[26]  Zengqiang Chen,et al.  Flocking of multi-agents with nonlinear inner-coupling functions , 2010 .

[27]  F. Cucker,et al.  Flocking in noisy environments , 2007, 0706.3343.

[28]  Long Wang,et al.  Flocking Control of Groups of Mobile Autonomous Agents Via Local Feedback , 2005, Proceedings of the 2005 IEEE International Symposium on, Mediterrean Conference on Control and Automation Intelligent Control, 2005..

[29]  Gordon F. Royle,et al.  Algebraic Graph Theory , 2001, Graduate texts in mathematics.

[30]  Reza Olfati-Saber,et al.  Consensus and Cooperation in Networked Multi-Agent Systems , 2007, Proceedings of the IEEE.

[31]  A. Ōkubo Dynamical aspects of animal grouping: swarms, schools, flocks, and herds. , 1986, Advances in biophysics.

[32]  Jinhu Lu,et al.  Consensus of discrete-time multi-agent systems with nonlinear local rules and time-varying delays , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[33]  Wenjie Dong,et al.  Flocking of Multiple Mobile Robots Based on Backstepping , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[34]  Wenwu Yu,et al.  Distributed leader-follower flocking control for multi-agent dynamical systems with time-varying velocities , 2010, Syst. Control. Lett..

[35]  Ella M. Atkins,et al.  Distributed multi‐vehicle coordinated control via local information exchange , 2007 .

[36]  Craig W. Reynolds Flocks, herds, and schools: a distributed behavioral model , 1987, SIGGRAPH.

[37]  Felipe Cucker,et al.  Avoiding Collisions in Flocks , 2010, IEEE Transactions on Automatic Control.

[38]  Xiao Fan Wang,et al.  Flocking of Multi-Agents With a Virtual Leader , 2009, IEEE Trans. Autom. Control..

[39]  Wei Ren,et al.  Formation Keeping and Attitude Alignment for Multiple Spacecraft Through Local Interactions , 2007 .

[40]  Dongbing Gu,et al.  Leader–Follower Flocking: Algorithms and Experiments , 2009, IEEE Transactions on Control Systems Technology.

[41]  Zhixin Liu,et al.  Connectivity and synchronization of Vicsek model , 2008, Science in China Series F: Information Sciences.

[42]  Wei Ren,et al.  Information consensus in multivehicle cooperative control , 2007, IEEE Control Systems.

[43]  Reza Olfati-Saber,et al.  Flocking for multi-agent dynamic systems: algorithms and theory , 2006, IEEE Transactions on Automatic Control.